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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2011, Issue 8(89), Pages 21–28 (Mi vsgu119)  
Mathematics

Smooth approximation for the solutions of elliptic systems

A. V. Boluchevskaya

Dept. of Computer Science and Experimental Mathematics, Volgograd State University, Volgograd, 400062, Russian Federation
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Abstract: The paper is devoted to the problem of piecewise-linear approximation of mapping for the elliptic system of solutions defined on triangular grids. A mapping is build to approximate the differential, and the estimate of error of approximation that does not depend on the degree of degeneracy of triangles of the grid. An analogous estimate is obtained for mappings which approximate the differential of solution of Beltrami equation.
Keywords: piecewise-linear approximation, approximation of a differential, elliptic system of equations, Beltrami equation, approximation error bound, triangulation.
Received: 18.06.2011
Revised: 19.07.2011
Document Type: Article
UDC: 517.518.85+517.53
Language: Russian
Citation: A. V. Boluchevskaya, “Smooth approximation for the solutions of elliptic systems”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, no. 8(89), 21–28
Citation in format AMSBIB
\Bibitem{Bol11}
\by A.~V.~Boluchevskaya
\paper Smooth approximation for the solutions of elliptic systems
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2011
\issue 8(89)
\pages 21--28
\mathnet{http://mi.mathnet.ru/vsgu119}
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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